Boxicity and separation dimension

Manu Basavaraju, L. Sunil Chandran, Martin Charles Golumbic, Rogers Mathew, Deepak Rajendraprasad

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


A family F of permutations of the vertices of a hypergraph H is called pairwise suitable for H if, for every pair of disjoint edges in H, there exists a permutation in F in which all the vertices in one edge precede those in the other. The cardinality of a smallest such family of permutations for H is called the separation dimension of H and is denoted by π(H). Equivalently, π(H) is the smallest natural number k so that the vertices of H can be embedded in ℝk such that any two disjoint edges of H can be separated by a hyperplane normal to one of the axes. We show that the separation dimension of a hypergraph H is equal to the boxicity of the line graph of H. This connection helps us in borrowing results and techniques from the extensive literature on boxicity to study the concept of separation dimension.

Original languageEnglish
Title of host publicationGraph-Theoretic Concepts in Computer Science - 40th International Workshop, WG 2014, Revised Selected Papers
EditorsDieter Kratsch, Ioan Todinca
PublisherSpringer Verlag
Number of pages12
ISBN (Electronic)9783319123394
StatePublished - 2014
Event40th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2014 - Orléans, France
Duration: 25 Jun 201427 Jun 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference40th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2014

Bibliographical note

Publisher Copyright:
© Springer International Publishing Switzerland 2014.

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science


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